Question

which complex number is equal to $i + (-2i + 5) - (3 - 7i)$?
options:
$8 - 8i$
$-2 - 4i$
$-8 + 10i$
$2 + 6i$

Explanation:

Step1: Remove parentheses

$i - 2i + 5 - 3 + 7i$

Step2: Group real and imaginary terms

$(5 - 3) + (i - 2i + 7i)$

Step3: Simplify real part

$5 - 3 = 2$

Step4: Simplify imaginary part

$1i - 2i + 7i = 6i$

Step5: Combine results

$2 + 6i$

Answer:

2 + 6i